JEE Main20266 April 2026Morning ShiftMathematicsInverse Trigonometric FunctionsActual

Let 0 < < 1 , = 1 3 and ⁻¹(1- ) + ⁻¹(1- ) = 4 . Then 6( + ) is equal to:

Options

Correct answer

B. 7

Step-by-step solution

Given ⁻¹(1- ) + ⁻¹(1- ) = 4 Applying the formula ⁻¹x + ⁻¹y = ⁻¹ ( x+y 1-xy ) , we get: (1- ) + (1- ) 1 - (1- )(1- ) = ( 4 ) = 1 2 - - = 1 - (1 - - + ) 2 - - = + - 2( + ) = 2 + Given = 1 3 , we have = 1 3 . Substituting this into the equation: 2( + ) = 2 + 1 3 2( + ) = 7 3 + = 7 6 Therefore, 6( + ) = 6 7 6 = 7 Answer: 7

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